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O is any point on the diagonal B D of th...

`O` is any point on the diagonal `B D` of the parallelogram `A B C Ddot` Prove that `a r( O A B)=a r( O B C)`

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P\ a n d\ Q are the points of trisection of the diagonal B D of a parallelogram A B C Ddot Prove that C Q is parallel to A Pdot Prove also that A C bisects P Q

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In Figure, P is a point in the interior of a parallelogram A B C D . Show that a r( A P B)+a r( P C D)=1/2a r(^(gm)A B C D) a R(A P D)+a r( P B C)=a r( A P B)+a r( P C D)

A point D is taken on the side B C of a A B C such that B D=2d Cdot Prove that a r( A B D)=2a r( A D C)dot

In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prove that a r( A D E)=a r( B C F)

A point D is taken on the side B C of a \ A B C such that B D=2D Cdot Prove that a r\ (\ A B D)=\ 2\ a r\ (\ A D C)

In Figure, A B C D is a trapezium in which A B||C D . Prove that: a r( A O D)=a r( B O C)dot

In Figure, A B C D is a ^(gm)dot\ \ O is any point on A CdotP Q\ A B\ a n d\ L M A Ddot Prove that a r(^(gm)D L O P)=\ a r\ (^(gm)B M O Q)

NAGEEN PRAKASHAN-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. In the adjoning figure, ABCD is a parallelogram. Prove that : area of ...

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  2. In a quadrilateral ABCD, AM and CN are perpendiculars from the vertice...

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  3. In the adjoining figure, ABCD is a quadrilateral in which AD ||BC. AC ...

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  4. D is a point on the base BC of Delta ABC.AD is produced upto E such th...

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  5. In the adjoining figure, D is the mid-point of side AB of Delta ABC an...

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  6. In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ (...

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  7. In parallelogram ABCD, P is a point on side AB and Q is a point on sid...

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  8. In the given figure, M and N are the mid-points of the sides DC and AB...

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  9. ABCD and BCFE are parallelgorams. If area of triangle EBC = 480 cm^(2)...

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  10. The given figure shows a pentagon ABCDE.EG drawn parallel to DA meets ...

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  11. In the given figure, AP is parallel to BC, BP is parallel to CQ. Prove...

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  12. The following figure shows two paralelograms ABCD and ABEF prove that ...

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  13. The side AB of a parallelogram ABCD is produced to any point E. A line...

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  14. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

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  15. In the following figure, AP||PS||QR and PQ||DB||SR, prove that area of...

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  16. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

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  17. D is the mid-point of side AB of the triangle ABC.E is the mid-point o...

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  18. In triangle ABC,E and F are the mid-point of sides AB and AC respectiv...

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  19. ABCD is a parallelogram. P and Q are the mid-point of sides AB and AD ...

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  20. In the given figure, squares ABDE and AFGC are drawn on the side AB an...

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